# ΔABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB =4 cm.

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ΔABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB =4 cm.

answered Feb 2, 2018 by Expert (1,417 points)
We know that, a triangle can be constructed if sum of its two sides is greater than third side.
i.e., in ΔABC,  AB + BC > AC
⇒  BC > AC – AB
⇒  6 > 4, which is true, so ΔABC with given conditions can be constructed.

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